Zhipeng Zhou

most citedConformal metric sequences with integral-bounded scalar curvature

6 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.DG2017★ 1 cited

John-Nirenberg Radius and Collapse in Conformal Geometry

Yuxiang Li, Guodong Wei, Zhipeng Zhou

Given a positive function $u \in W^{1, n}$ , we define its John-Nirenberg radius at point $x$ to be the supreme of the radius such that $\int_{B_{t}} ∣\nabla lo g u ∣^{n} < ε_{0}^{n}$ when $n > 2$ ,…

math.DG2017★ 6 cited

Conformal metric sequences with integral-bounded scalar curvature

Yuxiang Li, Zhipeng Zhou

Let $(M; g)$ be a smooth compact Riemiannian manifold without boundary and $g_{k}$ be a metric conformal to $g$ . Suppose $v o l (M; g_{k}) + ∣∣ R_{k} ∣ ∣_{L^{p} (M; g_{k})} < C$ , where $R_{k…